Chains of Factorizations and Factorizations with Successive Lengths

DOI10.1080/00927870500441916zbMath1087.11067OpenAlexW2040913986MaRDI QIDQ5201428

Andreas Foroutan, Wolfgang Hassler

Publication date: 19 April 2006

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870500441916

zbMATH Keywords

factorizationsnumerical invariantssets of lengths

Mathematics Subject Classification ID

Commutative semigroups (20M14) Units and factorization (11R27) Integral domains (13G05) Divisibility and factorizations in commutative rings (13A05)

Related Items (11)

Factorization of powers in \(C\)-monoids. ⋮ The monotone catenary degree of Krull monoids. ⋮ Semigroup-theoretical characterizations of arithmetical invariants with applications to numerical monoids and Krull monoids. ⋮ Factorizations of the same length in abelian monoids ⋮ The monotone catenary degree of monoids of ideals ⋮ Arithmetic of Mori domains and monoids ⋮ On the arithmetic of tame monoids with applications to Krull monoids and Mori domains. ⋮ On the arithmetic of Krull monoids with infinite cyclic class group ⋮ Arithmetic of seminormal weakly Krull monoids and domains ⋮ On the arithmetic of Krull monoids with finite Davenport constant. ⋮ A characterization of arithmetical invariants by the monoid of relations. II: The monotone catenary degree and applications to semigroup rings.

Cites Work

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• Factorization in integral domains
• Finitary monoids.
• Factorization in finitely generated domains.
• Chains of factorizations in weakly Krull domains
• PROJECTIVE MODULES AND DIVISOR HOMOMORPHISMS
• Congruence monoids

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